12-(x+8)=3(x+1)+1

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Solution for 12-(x+8)=3(x+1)+1 equation:


Simplifying
12 + -1(x + 8) = 3(x + 1) + 1

Reorder the terms:
12 + -1(8 + x) = 3(x + 1) + 1
12 + (8 * -1 + x * -1) = 3(x + 1) + 1
12 + (-8 + -1x) = 3(x + 1) + 1

Combine like terms: 12 + -8 = 4
4 + -1x = 3(x + 1) + 1

Reorder the terms:
4 + -1x = 3(1 + x) + 1
4 + -1x = (1 * 3 + x * 3) + 1
4 + -1x = (3 + 3x) + 1

Reorder the terms:
4 + -1x = 3 + 1 + 3x

Combine like terms: 3 + 1 = 4
4 + -1x = 4 + 3x

Add '-4' to each side of the equation.
4 + -4 + -1x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
0 + -1x = 4 + -4 + 3x
-1x = 4 + -4 + 3x

Combine like terms: 4 + -4 = 0
-1x = 0 + 3x
-1x = 3x

Solving
-1x = 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
-1x + -3x = 3x + -3x

Combine like terms: -1x + -3x = -4x
-4x = 3x + -3x

Combine like terms: 3x + -3x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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